Z-Wave Garage Door Opener

I am wondering if there is anything like a Universal Garage door opener that opens garage door via RF (like actual remote door openers that come with the opener), instead of having it hardwired into the door, and can control two or more doors with a single device?

If not, why? Is there a security issue by having it act that way?

Indeed there is. The Liftmaster/Chamberlain Universal Hub does just that.

Awesome! Thanks, will definitely take a look